Question

Find the equation of the hyperbola

Answer 1

Find the equation of the hyperbola Given that it passes through these four points (5,1) , (-3,-1) , (-3,1) ,and\[(-2, \frac{ 1 }{ 2 }\sqrt{2})\]

Answer 2

what is our general setup?

Answer 3

\[\frac{ (x-0)^2 }{ a^2 }-\frac{ (y-0)^2 }{ b^2 }=1\]or \[\frac{ (y-0)^2 }{ a^2 }-\frac{ (x-0)^2 }{ b^2 }=1\]

Answer 4

from the convenient points given, we could easily determine the center point, 3 of those points are the corners of a rectangle.